10766116770 has 64 divisors (see below), whose sum is σ = 26247162240. Its totient is φ = 2825653248.

The previous prime is 10766116769. The next prime is 10766116789. The reversal of 10766116770 is 7761166701.

10766116770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4125226 + ... + 4127834.

It is an arithmetic number, because the mean of its divisors is an integer number (410111910).

Almost surely, 2^10766116770 is an apocalyptic number.

10766116770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10766116770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13123581120).

10766116770 is an abundant number, since it is smaller than the sum of its proper divisors (15481045470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10766116770 is a wasteful number, since it uses less digits than its factorization.

10766116770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739.

The product of its (nonzero) digits is 74088, while the sum is 42.

The spelling of 10766116770 in words is "ten billion, seven hundred sixty-six million, one hundred sixteen thousand, seven hundred seventy".